Given matrices $A$ and $B$, I can use the reverse triangle inequality to get a lower bound on the norm of the difference $$||A|| - ||B|| \leq ||A-B||$$
Is there a way to get an upper bound for the general case or for any special case?
2026-03-26 15:17:20.1774538240
Upper bound of norm of matrix difference
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Well, by the ordinary triangle ineq, you have $$ \| A - B \| = \| A + (-B) \| \le \|A \| + \|-B \| = \|A\| + \| B \|. $$ The case where $B = -A$ shows that this bound is tight.